The vectors are linearly independent if and only if k ≠ -11
<h3>How to solve the vector</h3>
In mathematics, the definition of a vector is a quantity that is made up of both magnitude and also have direction. This type of quantity is not one that is considered based on its position. A very good example of such a quantity with magnitude and direction is acceleration.
Vectors are used to represent items such as position, velocity, physical quantities and others in mathematics and in physics.
In this question,
We have 2v - 3w
We have to multiply 2 by the values of v and multiply 3 with the values of w
this would produce
[2,6,8]-[6,6,12]
subtract w from v
= [-4, 0, -4]
We u as -1, 0 and 10+k
It is not possible to -1 = 10 + k
-11 = k
Hence we have to conclude that they are linearly independent if and only if k ≠ -11
Read more on vectors here:
brainly.com/question/22363471
#SPJ1
Answer:
Step-by-step explanation:
Width of rectangle = 15 cm
width of rectangle is equal to the radius of each semicircle.
radius of each semicircle (r) = 15 cm.
Diameter of each semicircle = 30 cm
Length of rectangle = 3 x 30 = 90 cm.
Answer:
Option 3
Step-by-step explanation:
Paint required is equal to the surface area of the wall
Area = 15.2 × 23
= 349.6 ft²
<em>The result is -13</em>
<h2>
Explanation:</h2><h2 />
Here we have the following addition problem:
So let's solve this step by step:
Step 1. Perform two plus two.
So:
Step 2. Perform the subtraction.
Since the sign (-) accompanies 17 which is greater than 4, then we perform the subtraction and add the sign (-) to the result. So:
<em>Finally, the result is -13</em>
<h2>Learn more:</h2>
Distributive property: brainly.com/question/10794694
#LearnWithBrainly
Answer:
6,000
Step-by-step explanation:
